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How do you graph #3x-4y=-12# using the intercepts?

Answer 1

Eva Adamson

If you know the #x-# and #y-#intercepts of a line you can draw the line passing through them.

All along the #x-#axis, #y# = 0. All along the #y-#axis, #x# = 0.

To find the #x# intercept, make #y# = 0 and solve for #x#. To find the #y# intercept, make #x# = 0 and solve for #y#.

In this example:

For the #x# intercept, #3x - 4(0) = -12# #rArr x = -4#

For the #y# intercept, #3(0) - 4y =-12# #rArr y = 3# graph graph{y = 3x/4 +3 [-10, 10, -5, 5]}

Draw the line through these points.

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Answer 2

Ethan Adkins

To graph the equation 3x - 4y = -12 using intercepts, we first find the x-intercept by setting y = 0 and solving for x: 3x - 4(0) = -12 3x = -12 x = -4

So, the x-intercept is (-4, 0).

Next, we find the y-intercept by setting x = 0 and solving for y: 3(0) - 4y = -12 -4y = -12 y = 3

So, the y-intercept is (0, 3).

Plotting these intercept points (-4, 0) and (0, 3) on the coordinate plane, we can draw a straight line passing through both points. This line represents the graph of the equation 3x - 4y = -12.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.